Universität Bonn

Workshop: "K-theory in algebraic geometry and number theory"


May 15-19, 2017

HIM Lecture Hall,  Poppelsdorfer Allee 45

Organizers: 

Ben Antieau, Joseph Ayoub, Tom Bachmann, Christian Dahlhausen, Lie Fu, Jens Hornbostel, Annette Huber-Klawitter, Ryomei Iwasa, Satoshi Kondo, Amalendu Krishna, Matthew Morrow, Thomas Nikolaus, Paul-Arne Østvær, Oliver Röndigs, Shuji Saito, Marco Schlichting, Peter Scholze, Gonçalo Tabuada


Schedule

Monday, May 15

10:15 - 10:50 Registration & Welcome coffee
10:50 - 11:00 Opening remarks
11:00 - 12:00 Ben Antieau: Negative and homotopy K-theoretic extensions of the theorem of the heart
12:00 - 13:50 Lunch break
13:50 - 14:50 Joseph Ayoub: Hodge theory for the conservativity conjecture
15:00 - 16:00 Tom Bachmann: The generalized slices of hermitian K-theory and applications
16:00 - 16:30 Tea and cake
16:30 - 17:30 Gonçalo Tabuada: Additive invariants of orbifolds
afterwards Reception

Tuesday, May 16

09:30 - 10:30 Peter Scholze: On topological cyclic homology
10:30 - 11:00 Group photo and coffee break
11:00 - 12:00 Matthew Morrow: p-adic vanishing cycles and the relative de Rham-Witt complex
12:00 - 15:00 Lunch break and discussions
15:00 - 16:00 Ryomei Iwasa: Chern classes with modulus: toward the comparison of relative K-theory and relative motivic cohomology
16:00 - 16:30 Tea and cake
16:30 - 17:30 Lie Fu: K-theoretical and motivic hyperKähler resolution conjecture
19:00 - Conference dinner at the Restaurant Meyer's (Clemens-August-Str. 51a)

Wednesday, May 17

09:30 - 10:30 Paul Arne Østvær: A1 contractible varieties
10:30 - 11:00 Coffee break
11:00 - 12:00 Jens Hornbostel: Chow-Witt groups of classifying spaces
12:00 - 15:00 Lunch break and discussions
15:00 - 16:00 Thomas Nikolaus: Polynomial functors and algebraic K-theory
16:00 - 16:30 Tea and cake
16:30 - 17:30 Oliver Röndigs: The first and second stable homotopy groups of motivic spheres over a field

Thursday, May 18

09:30 - 10:30 Amalendu Krishna: Torsion in the 0-cycle groups
10:30 - 11:00 Coffee break
11:00 - 12:00 Marco Schlichting: Homology stability and the K-theory of quadratic forms
12:00 - 15:00 Lunch break and discussions
15:00 - 16:00 Christian Dahlhausen: Improved Milnor K-theory of valuation rings of local fields
16:00 - 16:30 Tea and cake
16:30 - 17:30 Satoshi Kondo: Norm compatible systems in motivic cohomology of Drinfeld modular schemes

Friday, May 19

09:30 - 10:30 Annette Huber-Klawitter: Beyond homotopy invariance: the case of differential forms
10:30 - 11:00 Coffee break
11:00 - 12:00 Shuji Saito: Rigid analytic K-theory
12:00 - Lunch break, farewell

Participants

Person
Affiliation
Period of stay
David Benjamin Antieau University of Illinois at Chicago
Joseph Ayoub University of Zurich
Tom Bachmann Universität Essen
Sai Somanjana Sreedhar Bhamidi Tata Institute Of Fundamental Research
Dorin Boger Harvard University
Christian Dahlhausen Universität Regensburg
Hélène Esnault Freie Universität Berlin
Lie Fu Université Claude Bernard Lyon 1
Christian Haesemeyer University of California at Los Angeles
Alice Hedenlund University of Oslo
Jens Hornbostel Bergische Universität Wuppertal
Annette Huber-Klawitter Universtität Freiburg
Ryomei Iwasa The University of Tokyo
Fangzhou Jin Universität Regensburg
Satoshi Kondo National Research University
Yordanka Kovacheva The University of Chicago
Amalendu Krishna Tata Institute Of Fundamental Research
Jonas Irgens Kylling University of Oslo
Patrick McFaddin University of South Carolina
Matthew Morrow Institut de Mathématiques de Jussieu-Paris Rive Gauche
Manh Toan Nguyen Universität Osnabrück
Thomas Nikolaus Universität Bonn
Mariko Ohara Shinshu University
Paul Arne Ostvaer University of Oslo
Charanya Ravi Universitetet i Oslo
Holger Reich Freie Universität Berlin
Oliver Röndigs Universität Osnabrück
Vivek Sadhu Tata Institute of Fundamental Research
Shuji Saito Tokyo Institute of Technology
Sarang Sane Indian Institute of Technology Madras (IIT Madras)
Husney Parvez Sarwar Tata Institute of Fundamental Research
Anand Sawant Ludwig-Maximilians-Universität München
Marco Schlichting University of Warwick
Peter Scholze Universität Bonn
Pavel Sechin National Research University Higher School of Economics
Gonçalo Tabuada Massachusetts Institute of Technology (MIT)
Alexander Varchenko University of North Carolina
Charles Weibel Rutgers University
Tian An Wong IISER Pune
Calvin Woo Indiana University
Heng Xie University of Warwick
Ferdinando Zanchetta University of Warwick
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